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Finding the Fourth Proportional to 428,071.68, 590,743.26 and 258,273

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Solution

The fourth proportional to 428,071.68, 590,743.26 and 258,273 is: 356,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,071.68 : 590,743.26 = 258,273 : x
  2. Step 2: Convert to fraction form
    428,071.68/590,743.26 = 258,273/x
  3. Step 3: Cross multiply
    428,071.68x = 590,743.26 × 258,273
  4. Step 4: Simplify right side
    428,071.68x = 152,573,033,989.98
  5. Step 5: Solve for x
    x = 152,573,033,989.98/428,071.68
  6. Step 6: Final answer
    x = 356,419.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.